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Facilitated Ising Model with Soft Restrictions
Author(s) -
Schulz M.,
Trimper S.
Publication year - 1999
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199910)215:2<1119::aid-pssb1119>3.0.co;2-c
Subject(s) - statistical physics , ising model , constraint (computer aided design) , voter model , spins , relaxation (psychology) , arrhenius equation , mathematics , square lattice ising model , physics , classical mechanics , condensed matter physics , kinetics , geometry , psychology , social psychology
An analytical approach is proposed to include dynamical constraints into a kinetic Ising model where the spins are subjected to flip processes. The relaxation time shows a non‐Arrhenius behaviour. When the constraints are realized with a certain probability the relaxation time decreases further. For that case a general relation is derived the validity of which is demonstrated for different probability distributions. As a special case we consider a deterministic constraint regarded as a voter model, which may lead to an unstable behaviour.